99715461816960 has 2688 divisors, whose sum is σ = 409079111676480. Its totient is φ = 23195720908800.

The previous prime is 99715461816953. The next prime is 99715461816977. The reversal of 99715461816960 is 6961816451799.

99715461816960 is a `hidden beast` number, since 9 + 9 + 7 + 1 + 546 + 1 + 8 + 16 + 9 + 60 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 155078478399 + ... + 155078479041.

Almost surely, 2^{99715461816960} is an apocalyptic number.

99715461816960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99715461816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204539555838240).

99715461816960 is an abundant number, since it is smaller than the sum of its proper divisors (309363649859520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99715461816960 is a wasteful number, since it uses less digits than its factorization.

99715461816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 99715461816960 in words is "ninety-nine trillion, seven hundred fifteen billion, four hundred sixty-one million, eight hundred sixteen thousand, nine hundred sixty".